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LCM of 229, 292, 364, 896

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 229, 292, 364, 896 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 229, 292, 364, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,292,364,896

Given numbers are 229,292,364,896

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 229,292,364,896 is 194719616.

Find LCM of 229,292,364,896 with Prime Factorization


2 229, 292, 364, 896
2 229, 146, 182, 448
7 229, 73, 91, 224
229, 73, 13, 32

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 7 x 229 x 73 x 13 x 32 = 194719616

Therefore, the lowest common multiple of 229,292,364,896 is 194719616.

LCM Formula to Find Lowest Common Multiple of 229,292,364,896

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

229 x 292 x 364 x 896 = 21808596992

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

229 : 1, 229

292 : 1, 2, 4, 73, 146, 292

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,292,364,896, is 1.

Now, the common factors can be found like this.

229:229

292:2x 2x 73

364:2x 2x 7x 13

896:2x 2x 2x 2x 2x 2x 2x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 7 = 112

Therefore, the value for common factors is 112.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 21808596992/(1x112)

LCM = 21808596992/112

LCM = 194719616

Thus, we can understand that the LCM of 229,292,364,896 is 194719616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 292, 364, 896

1. What is the LCM of 229, 292, 364, 896?

Answer: LCM of 229, 292, 364, 896 is 194719616.

2. How to calculate the LCM of 229, 292, 364, 896?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 229, 292, 364, 896.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.